{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d0a754df",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0896bbff",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.linear_model import LinearRegression\n",
    "import seaborn as sns\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c927abdd",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('pricing_data.csv')\n",
    "#sk-382c743609a84a029ec73c1f53119349\n",
    "df.head()\n",
    "x = df['Price']\n",
    "y = df['Sales']\n",
    "data_x = np.array(x)\n",
    "data_y = np.array(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6161a666",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-8.15243317] 1007.9435089997701\n"
     ]
    }
   ],
   "source": [
    "model = LinearRegression()\n",
    "model.fit(data_x.reshape(-1,1),data_y)\n",
    "print(model.coef_ , model.intercept_)\n",
    "slope = model.coef_\n",
    "intercept = model.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9407d803",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8 , 6))\n",
    "sns.regplot(\n",
    "    x = data_x,\n",
    "    y = data_y,\n",
    "    ci = None,\n",
    "    line_kws={\"color\" : \"red\" , \"label\" : f\"y = {intercept:.2f} + {slope[0]:.2f}x\"}\n",
    ")\n",
    "#plt.title(\"prices vs sales\",fotsize=20)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "test",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
